Electron relaxation in metals: Theory and exact analytical solutions

Exact propagation without analytical solutions

We present a simulation algorithm that accurately propagates a molecule pair using large time steps without the need to invoke the full exact analytical solutions of the Smoluchowski diffusion equation. Because the proposed method only uses uniform and Gaussian random numbers, it allows for position updates that are two to three orders of magnitude faster than those of a corresponding scheme ba...

Electron Theory of Metals

In an ionic solid, the atom forming a cation gives up its valence electron that is captured by the atom forming an anion. Here the electrons are strictly localized. However in metals, the core electrons are localized at the atoms but the valence electrons are delocalized and belong to the entire solid. The behaviour and energy states of these delocalized electrons determine many properties of t...

Analytical Solutions of Exact Renormalization Group Equations

We study exact renormalization group equations in the framework of the effective average action. We present analytical solutions for the scale dependence of the potential in a variety of models. These solutions display a rich spectrum of physical behaviour such as fixed points governing the universal behaviour near second order phase transitions, critical exponents, first order transitions (som...

Generalized Elliott-Yafet theory of electron spin relaxation in metals: origin of the anomalous electron spin lifetime in MgB2.

The temperature dependence of the electron-spin relaxation time in MgB2 is anomalous as it does not follow the resistivity above 150 K; it has a maximum around 400 K and decreases for higher temperatures. This violates the well established Elliot-Yafet theory of spin relaxation in metals. The anomaly occurs when the quasiparticle scattering rate (in energy units) is comparable to the energy dif...

Introduction to the Electron Theory of Metals